List questions from convex-analysis

Published on 11 Apr 2026 - 12:12

43

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Example of set in $\mathbb{R}^{2}$ that is compact but not $C$-compact

Published on 11 Apr 2026 - 12:45

214

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Determine if $f(x,y,z) = x^2+y^2+z^2 + \min(x+2y+z, (x+2y+z)^2)$ is convex.

Published on 15 Apr 2026 - 16:51

942

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Is the convex combination of stochastic matrices also stochastic?

Published on 25 Mar 2026 - 22:11

2.3k

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Mean square error using linear regression gives a convex function

Published on 10 Apr 2026 - 20:41

802

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Convex functions converge uniformly. Then their derivatives too?

Published on 16 Apr 2026 - 7:53

87

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Inequality of convexity with the middle point only

Published on 15 Apr 2026 - 23:28

165

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Extreme vectors of circular cone

Published on 12 Apr 2026 - 15:05

6.6k

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Why does the Hessian matrix have to be positive semidefinite for convexity?

Published on 12 Apr 2026 - 1:58

975

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Graph of convex function $f$ lies above line that passes through point $(x, f(x))$?

Published on 16 Apr 2026 - 13:31

852

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Reference request: Choquet theory

Published on 15 Apr 2026 - 14:30

5k

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Convex function can be written as supremum of some affine functions

Published on 12 Apr 2026 - 20:31

302

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Equivalent conditions for convexity without differentiability assumption

Published on 13 Apr 2026 - 12:54

2.3k

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Proof about Conjugate and subgradient

Published on 11 Apr 2026 - 18:48

124

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Self-contained proof of Jensen's inequality

Published on 15 Apr 2026 - 0:21

List Question

Minimax problem for convex function

Example of set in $\mathbb{R}^{2}$ that is compact but not $C$-compact

Determine if $f(x,y,z) = x^2+y^2+z^2 + \min(x+2y+z, (x+2y+z)^2)$ is convex.

Is the convex combination of stochastic matrices also stochastic?

Mean square error using linear regression gives a convex function

Convex functions converge uniformly. Then their derivatives too?

Inequality of convexity with the middle point only

Extreme vectors of circular cone

Why does the Hessian matrix have to be positive semidefinite for convexity?

Graph of convex function $f$ lies above line that passes through point $(x, f(x))$?

Reference request: Choquet theory

Convex function can be written as supremum of some affine functions

Equivalent conditions for convexity without differentiability assumption

Proof about Conjugate and subgradient

Self-contained proof of Jensen's inequality

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